I can't say that I'm fully abreast of the latest theories in cosmology, but what you're talking about is a "big crunch". Regardless of black holes, the big crunch only happens if the universe expands below a certain rate, I think. Beyond that, however, I don't know what the latest evidence is regarding whether the universe will slow down and crunch back to nothing. It's certainly not a given, one way or the other, but contingent upon a number of factors.

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